Question

Write the compound statement "I'll exercise if I don't eat too much" in symbols.Let p = "I eat too much"q = "I'll exercise"A. ~p∧qB. ~(p->q)C. ~p∨qD. ~p->q

Answer 1

We can begin by rewriting the sentence in a more convenient way:

"If I don't eat too much, I'll exercise."

The phrase speaks about an action (exercise) that is going to be done provided a condition is fulfilled (don't eat too much) This is a conditional.

p = I eat too much

~p = I don't eat too much.

Then, if ~p happens, then q will happen

We can write this as

~p->q

With this, the correct answer is option D.